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Finding the Third Proportional to 13,219.88 and 19,333.69

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Solution

The third proportional to 13,219.88 and 19,333.69 is: 28,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.88 : 19,333.69 = 19,333.69 : x
  2. Step 2: Convert to fraction form
    13,219.88/19,333.69 = 19,333.69/x
  3. Step 3: Cross multiply
    13,219.88x = 19,333.69 × 19,333.69
  4. Step 4: Simplify right side
    13,219.88x = 373,791,472.35
  5. Step 5: Solve for x
    x = 373,791,472.35/13,219.88
  6. Step 6: Final answer
    x = 28,274.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.